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Simplifying -16 + 5n = -7(-6 + n) + 3 -16 + 5n = (-6 * -7 + n * -7) + 3 -16 + 5n = (42 + -7n) + 3 Reorder the terms: -16 + 5n = 42 + 3 + -7n Combine like terms: 42 + 3 = 45 -16 + 5n = 45 + -7n Solving -16 + 5n = 45 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -16 + 5n + 7n = 45 + -7n + 7n Combine like terms: 5n + 7n = 12n -16 + 12n = 45 + -7n + 7n Combine like terms: -7n + 7n = 0 -16 + 12n = 45 + 0 -16 + 12n = 45 Add '16' to each side of the equation. -16 + 16 + 12n = 45 + 16 Combine like terms: -16 + 16 = 0 0 + 12n = 45 + 16 12n = 45 + 16 Combine like terms: 45 + 16 = 61 12n = 61 Divide each side by '12'. n = 5.083333333 Simplifying n = 5.083333333
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